Prime p₀= 2878695235192304741 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 40 2 18 60 6 16 44 16 6 60 18 2 40 50 (?)
a_n: 0 50 90 92 110 170 176 192 236 252 258 318 336 338 378 428
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 428
Found by: Landjunge
db: batch=82, k=16, 50 40 2 18 60 6 16 44

SPT(16)	2878693974072626189	0 8 18 68 72 78 120 134 138 152 194 200 204 254 264 272	-1261119678552
STPT(10)	2878694068219911839	0 2 18 20 30 32 42 44 60 62	-1166972392902
SPT(16)	2878694069627585893	0 48 60 78 124 168 180 204 214 238 250 294 340 358 370 418	-1165564718848
STPT(10)	2878694097409903427	0 2 54 56 72 74 90 92 144 146	-1137782401314
SPT(16)	2878694822932123597	0 52 64 84 112 184 210 250 276 316 342 414 442 462 474 526	-412260181144
SPT(16)	2878695099744500021	0 42 56 60 66 72 86 96 116 126 140 146 152 156 170 212	-135447804720
STPT(10)	2878695362394189587	0 2 12 14 42 44 72 74 84 86	127201884846
SPT(16)	2878695512997781033	0 16 18 60 88 100 120 156 160 196 216 228 256 298 300 316	277805476292
SPT(16)	2878695681536735279	0 114 120 140 174 182 192 258 284 350 360 368 402 422 428 542	446344430538
TPT(14)	2878695907610991581	0 2 36 38 120 122 150 152 168 170 180 182 198 200	672418686840
SPT(16)	2878696001785093421	0 2 96 110 122 128 140 210 248 318 330 336 348 362 456 458	766592788680